| Information | |
|---|---|
| has gloss | eng: In mathematics, with special application to complex analysis, a normal family is a pre-compact family of continuous functions. Informally, this means that the functions in the family are not exceedingly numerous or widely spread out; rather, they stick together in a relatively "compact" manner. It is of general interest to understand compact sets in function spaces, since these are usually truly infinite-dimensional in nature. |
| lexicalization | eng: normal family |
| instance of | c/Continuous mappings |
| Meaning | |
|---|---|
| French | |
| has gloss | fra: En mathématiques, une famille normale est une famille de fonctions holomorphes (analytiques complexes) dans un domaine D ouvert telle que de toute suite de termes de la famille on peut extraire une sous-suite uniformément convergente sur les ensembles compacts de D. |
| lexicalization | fra: Famille Normale |
| Chinese | |
| has gloss | zho: 在数学中,特别是应用于复分析,一个正规族()是连续函数的一个预紧族。非正式地讲,这意味着这一族中的函数不能扩展得太广;它们以一种相对“紧致”地方式集中在一起。理解函数空间中的紧子集是有广泛意义的,因为它们通常自然是无穷维的。 |
| lexicalization | zho: 正规族 |
Lexvo © 2008-2025 Gerard de Melo. Contact Legal Information / Imprint